0=4x^2+16x+16

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Solution for 0=4x^2+16x+16 equation:


Simplifying
0 = 4x2 + 16x + 16

Reorder the terms:
0 = 16 + 16x + 4x2

Solving
0 = 16 + 16x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + -16x + -4x2 = 16 + 16x + 4x2 + -16 + -16x + -4x2

Reorder the terms:
-16 + -16x + -4x2 = 16 + -16 + 16x + -16x + 4x2 + -4x2

Combine like terms: 16 + -16 = 0
-16 + -16x + -4x2 = 0 + 16x + -16x + 4x2 + -4x2
-16 + -16x + -4x2 = 16x + -16x + 4x2 + -4x2

Combine like terms: 16x + -16x = 0
-16 + -16x + -4x2 = 0 + 4x2 + -4x2
-16 + -16x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-16 + -16x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(4 + 4x + x2) = 0

Factor a trinomial.
-4((2 + x)(2 + x)) = 0

Ignore the factor -4.

Subproblem 1

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-2, -2}

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